• Title/Summary/Keyword: university math education

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What is learning in the Math Classroom?

  • Patton, Barba Aldis;Hutto, Nora Nelson
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.269-280
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    • 2010
  • What is learning in the math classroom? Does a new term need to be coined for learning? Is the term over-used and it has lost it meaning? The responses of one hundred four teacher candidates and graduate students were coded using the five levels researcher designed rubric which was modeled after Bloom's Taxonomy for depth of knowledge. The effects of understanding learning include the preparation of lesson plans, classroom instruction, the guiding of student learning, and the professional development of teacher leaders.

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A Meta-analysis on Comparative Studies of Mathematics Textbooks (수학 교과서 비교 연구 논문에 관한 분석)

  • Hong Mira;Cba Insook
    • The Mathematical Education
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    • v.44 no.2 s.109
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    • pp.201-213
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    • 2005
  • The purpose of this study is to find research areas that were less represented by the researchers of mathematics textbooks and to provide feedback for the research and development of mathematics curriculum and textbooks. In order to complete this study, we analyzed comparative studies of mathematics textbooks published in Korean. This study analyzed 107 comparative studies published until recently based on following aspects: countries studied (North Korea, U.S.A., and Japan), Math curriculum studied (6th and 7th mathematics curriculum), and Math contents studied (probability and statistics) and etc. The result of this study suggests that the content area of creative problem solving was particularly less represented by the studies published and require more concern from the mathematics education researchers

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A Study on Use of Calculators in the Elementary Math Textbook of U.S. (미국 초등수학교과서의 계산기 활용 실태와 방안에 대한 분석)

  • Ryu, Sung-Rim
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.1-27
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    • 2010
  • This study intends to provide implications about sluggish use of calculators in our case by analyzing the math textbook of U.S. Macmillan/McGraw-Hill along with the tendency of paying more attention to math class using technologies. From the results of analysis, this textbook deals with various methods over around 3.3% of all pages, using calculators across all grades from 1st to 6th grade. In particular, it offers guidance into three types such as 'Choose a Computation Method', 'You can also use a calculator.', and 'TECHNOLOGY LINK', while particularly it is impressive in the perspective of using calculators as one of calculation strategies. And case studies of usage in textbooks describe 8 different perspectives as an example-represent; solve problems or equations; develope or demonstrate conceptual understanding; analyze; compute or estimate; describe, explain or justify; choose appropriate calculation method; determine a calculated answer's reasonableness. Reflecting on the fact that we still use calculators in a passive way, there are considerable implications to us.

Analyzing the Styles and Types of Math Learning for Middle School Students (중학생의 수학학습양식 및 유형 분석)

  • Kang, Na Ru;Lim, Daekeun;Ryu, Hyunah
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.363-381
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    • 2013
  • The constituents of math learning styles are information recognition and information processing in the cognitive domain and attitudes toward math learning and environments of math learning in the affective domain. Each of the constituents has two opposing styles; there are the visual style and verbal style in information recognition; and there are the whole style and analytical style in information processing. And as for attitudes toward math learning, there are two styles which are the authoritative and goal-oriented style and the practical and entertaining style. Also as for attitudes toward environments of math learning, there are two styles which are the interior-oriented style and exterior-oriented style. There can be classified into 16 types of mathematics learning by the combination of a total of 8 styles of mathematics learning. The purpose of this study was to analyze the preference of the students from three middle schools located in Daegu Metropolitan City to the styles and types of mathematics learning.

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An Analysis of the Writing Types Elementary School Students Presented in Mathematics Journal (초등학생의 수학 일기 쓰기 유형 분석)

  • Choi-Koh, Sang Sook;Park, Man Goo;Kim, Jeong Hyeon
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.85-104
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    • 2023
  • The purpose of this study is to analyze the types of mathematics journals of elementary school students and to understand how they change in mathematics journals as the grade goes up, and to obtain implications in mathematics education. To this end, 170 of the 222 parish mathematics data submitted to the "Math Journal Contest" were analyzed with the consent of both minors and their parents. As for the framework for analyzing math journal types, 12 types were derived through independent analysis between three researchers. The research results showed that first, the type of math journal written by elementary school students is a variety of journals, such as observation, problem making, concept organization, and review. In addition, as a learning area, it was found that math journal showed a noticeable increase in experimental observation, problem making, and concept journal as the grades progressed, while a small number of idea journal and explanatory journals appeared. However, game (winning) strategy building and types declined. It can be seen that this is evolving from a type that requires activity-oriented or simple descriptions to a type that actively applies mathematical concepts. As such, there are 12-type of math journals, but it is necessary to actively use the teaching materials in writing that can be freely expressed in the school setting.

Comparison of General Teaching Efficacy and Science Teaching Efficacy of Preservice Elementary Teachers (초등 예비 교사들의 일반 교수 효능감과 과학 교수 효능감 비교)

  • Lim, Hee-Jun
    • Journal of Korean Elementary Science Education
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    • v.26 no.1
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    • pp.131-139
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    • 2007
  • This study investigated whether there was a difference between general teaching efficacy and science teaching efficacy of preservice elementary teachers. And, the difference was also examined in the area of several variables of the preservice teachers, such as gender, the university majors, the high school majors, and grades. The results showed that a significant difference was not found between general teaching efficacy and science teaching efficacy. Teacher variables were found as the major factors to explain the difference. In case of male students who are majoring in science/math at university, and the students who majored in science/math at high school, science teaching efficacy was higher than general teaching efficacy. Whereas, in case of female students and nonscience majors at university and high school, science teaching efficacy was lower than their general teaching efficacy. Educational implications for preservice elementary teachers were discussed.

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From Visualization to Computer Animation Approaches in Mathematics Learning: the Legacy throughout History of Human Endeavours for Better Understanding

  • Rahim, Medhat H.
    • Research in Mathematical Education
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    • v.17 no.4
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    • pp.279-290
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    • 2013
  • Presently, there has been growing interests in using mathematics' history in teaching mathematics [Katz, V. & Tzanakis, C. (Eds.) (2011). Recent Developments on Introducing a Historical Dimension in Mathematics Education. Washington, DC: Mathematical Association of America]. Thus, this article introduces some work of scholars from ancient East Indian culture like Bhaskara (AD 1114-1185) and Arabic culture such as Ibn Qurrah (AD 9th c) that are related to Pythagoras Theorem. In addition, some Babylonian creative works related to Pythagorean triples found in a tablet known as 'Plimpton 322', and an application of the Pythagorean Theorem found in another tablet named 'Yale Tablet' are presented. Applications of computer animation of dissection Motion Operations concept in 2D and 3D using dynamic software like Geometer's-Sketchpad and Cabri-II-and-3D. Nowadays, creative minds are attracted by the recent stampede in the advances of technological applications in visual literacy; consequently, innovative environments that would help young students, gifted or not, acquiring meaningful conceptual understanding would immerge.

Schemes to incorporate key competencies for the gifted in the middle school math teaching (핵심역량에 기초한 중학교 수학 수업 방안 탐색 -수학 영재 수업을 중심으로-)

  • Choe, Seong Hyun;Park, Ji Hyun;Nam, Geum Cheon
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.99-119
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    • 2013
  • This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

A Study on Math Motivation, Mathematically Affective Characteristics and Mathematical Achievements between Gifted and Non-gifted Students Based on Keller's ARCS Theory (영재학생과 일반학생의 ARCS 이론에 근거한 수학학습동기 비교와 수학 정의적 특성 및 학업성취도 간의 관계)

  • Lee, Jihyun;Kim, Min Kyeong
    • Journal of Gifted/Talented Education
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    • v.26 no.1
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    • pp.141-159
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    • 2016
  • The purposes of the study are to recognize importance of motivation in math education and to increase interest in students' motivation problem by comparing math motivation between mathematically gifted and non-gifted 5th graders based on Keller's ARCS theory and analyzing correlations between math motivation, mathematically affective characteristics and mathematical achievements. For this purpose, 436 students who were mathematically gifted and non-gifted 5th grade students were asked to take questionnaires and test to measure math motivation, mathematically affective characteristics and mathematical achievements. After analyzing the data, there are statistically differences in three educational factors between two groups. In addition, there are correlations between three educational factors. This study revealed that highly motivated students showed positive mathematically affective characteristics and high mathematical achievements. As results indicate that motivation could be a crucial factor in learning, teachers should consider motivation strategy to plan students' lessons regarding to learners' giftedness.

Effect of Children's Mathematical Problem Solving Ability and Their Self-Esteem through Havruta Method Using Math Storybooks (수학동화를 활용한 하브루타 수업이 유아의 수학적 문제 해결력 및 자아존중감에 미치는 영향)

  • Lim, Kyeong Mi;Ahn, Hyojin
    • Human Ecology Research
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    • v.55 no.2
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    • pp.193-204
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    • 2017
  • This study examines the effect of 5-year-old children's mathematical problem solving ability and their self-esteem based on the Havruta method using math storybooks. The subjects of this study were 40 5-year-old students attending a kindergarten in the Incheon area: 20 students comprised the treatment group and 20 students comprised the control group. An instrument originally created by Ward (1993) but adapted by Hwang (1997) and later modified by Ryu (2003) was used to test the children's mathematical problem solving abilities. A modified version (Kim, 1997) of an instrument developed by Harter and Pike (1984) was used to measure children's self-esteem. Test results were analyzed using SPSS ver. 18.0 for Windows. The findings are as follows. First, the treatment group that had Havruta classes utilizing math story books was found to improve significantly more than the control group in their mathematical problem solving ability. Havruta classes had positive effects on children's mathematical problem solving abilities. Second, there was no significant difference found between the two groups in terms of self-esteem when the children's self-esteem was compared after Havruta classes that utilize math storybooks. It may not be possible to see immediate changes in children's self-esteem because positive parent and teacher feedback had the strongest influence on 5-year-old children's self-esteem, as opposed to self-learning. The results of this study provide meaningful basic data for Havruta classes that focus on questions and discussions through math story books to increase children's mathematical problem solving abilities in the child education field.